LIST OF FIGURES 5
3.2.4 piano and violin’s waveforms . . . . . . . . . . . . . . . . . . . . . . . . . . 37
3.2.5 clarinet and oboe’s waveforms . . . . . . . . . . . . . . . . . . . . . . . . . 38
3.2.6 Top row: source signal S; bottom row: separated signal S
0
. Difference of S
and S
0
: 0.09339069. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
3.2.7 the relation between the mixing matrix A and data length . . . . . . . . . . 40
3.3.1 the set up for two instruments recording. Piano with other instruments.
One recorder is 85cm far from piano and the recorder angle is 30 degree.
Another recorder is 75 cm far from other instruments. Two recorders are
150 cm far from each other. . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
3.3.2 the set up for two instruments recording. Both of two instruments are 80cm
from from the recorder. Two instruments are facing to each other. Two
recorders are 230 cm far from each other. . . . . . . . . . . . . . . . . . . . 42
3.3.3 The mixed signal X
1
and X
2
of piano and violin, where mixing matrix A
= 0.3, 0.91.27, 0.95. X axis: time; Y axis: amplitude . . . . . . . . . . . . . 43
3.3.4 Comparison of original piano wave form and separated piano waveform from
real-time mixed signal of piano and violin. Top: original piano waveform;
Bottom: separated piano waveform. X axis: time, 2.5 second; Y axis: amplitude 43
3.3.5 Comparison of original violin wave form and separated violin waveform from
real-time mixed signal of piano and violin. Top: original violin waveform;
Bottom: separated violin waveform. X axis: time, 2.5 second; Y axis: amplitude 44
3.3.6 Comparison of original violin wave form and separated violin waveform from
mixed signal of piano and violin. Top: original violin waveform; Bottom:
separated violin waveform. X axis: time, 10 second (entire recording); Y
axis: amplitude . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
3.3.7 Comparison of original violin wave form and separated violin waveform from
mixed signal of piano and violin. Top: original violin waveform; Bottom:
separated violin waveform. X axis: time, 10 second (entire recording); Y
axis: amplitude . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
3.3.8 Comparison of original clarinet wave form and separated clarinet waveform
from real-time mixed signal of clarinet and oboe. Top: original clarinet
waveform; Bottom: separated clarinet waveform. X axis: time, 8 ms; Y axis:
amplitude . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
3.3.9 Comparison of original oboe wave form and separated oboe waveform from
real-time mixed signal of clarinet and oboe. Top: original oboe waveform;
Bottom: separated oboe waveform. X axis: time, 8 ms; Y axis: amplify . . . 47
3.3.10Comparison of original clarinet wave form and separated clarinet waveform
from mixed signal of clarinet and oboe. Top: original clarinet waveform; Bot-
tom: separated clarinet waveform. X axis: time, 17 second (entire recording);
Y axis: amplify . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
3.3.11Comparison of original oboe wave form and separated oboe waveform from
mixed signal of clarinet and oboe. Top: original oboe waveform; Bottom:
separated oboe waveform. X axis: time, 13 second (entire recording); Y axis:
amplify . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48